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Finding the Fourth Proportional to 748.64, 1,033.13 and 433.91

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Solution

The fourth proportional to 748.64, 1,033.13 and 433.91 is: 598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.64 : 1,033.13 = 433.91 : x
  2. Step 2: Convert to fraction form
    748.64/1,033.13 = 433.91/x
  3. Step 3: Cross multiply
    748.64x = 1,033.13 × 433.91
  4. Step 4: Simplify right side
    748.64x = 448,289.11
  5. Step 5: Solve for x
    x = 448,289.11/748.64
  6. Step 6: Final answer
    x = 598.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.